What is the limit as x approaches infinity of-12x^5 ?

The limit as x approaches infinity of-12x^5 is -infinity

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limit as x approaches infinity of-12x^5

x \to \infty lim (- 12 x^{5})

- \infty

Solution steps

x \to \infty lim (- 12 x^{5})

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is odd

a = - 12, n = 5

= - \infty

x \to 2 + lim (\frac{2 - x}{∣ 2 - x ∣})

x \to - 1 lim (x^{2} + 2 x + 1)

x \to 5 lim (x^{2} - 10)

x \to \infty - lim (x^{2})

n \to \infty lim (2 n + 6)

What is the limit as x approaches infinity of-12x^5 ?
The limit as x approaches infinity of-12x^5 is -infinity